New existence and uniqueness results for an \(\alpha\) order boundary value problem

Zoubir Dahmani; Mohamed Amin Abdellaoui

doi:10.26637/mjm104/002

Abstract

This paper is concerned with the existence of solutions for a non local fractional boundary value problem with integral conditions. New existence and uniqueness results are established using Banach fixed point theorem. Other existence results are obtained using Schauder and Krasnoselskii theorems. As an application, we give an example to illustrate our results.

Keywords:

Caputo derivative, fixed point theorem, boundary value problem

Mathematics Subject Classification:

26A33, 34B15

Authors Imprint References Funding Related Articles Downloads

Zoubir Dahmani Laboratory of Pure and Applied Mathematics, LPAM, Faculty SEI, UMAB University of Mostaganem, Algeria.
Mohamed Amin Abdellaoui Laboratory of Pure and Applied Mathematics, LPAM, Faculty SEI, UMAB University of Mostaganem, Algeria.

Pages: 10-19
Date Published: 01-10-2013
Vol. 1 No. 04 (2013): Malaya Journal of Matematik (MJM)

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